The END

The cube of a number ending in 3 ends in _____________

Property 4 Cubes of the numbers ending in digits 1456 and 9 are the numbers ending in the same digit.Cubes of numbers ending in digit 2 ends in digit 8 and the cube of numbers ending in digit 8 ends in digit 2. The cubes of the numbers ending in digits 3 and 7 ends in digit 7 and 3 respectively.

A ladder 20 ft long has one end on the ground and the other end in contact with a vertical wall. The lower end slips along the ground. If the lower end of the ladder is 16 t away from the wall, upper end is moving lamda time as fast as the lower end, then lamda is

The one end of a 20 m long ladder is on the floor and the other end is in the contact of vertical wall. Its lower end slides on the floor. Show that the rate of sliding of the upper end is 4/3 times the rate of sliding the lower end when the lower end is 16 m away from the wall.

Strings Fixed At One End And Free From Other End

The frequency of third overtone of a pipe closed at one end , is in unison with the fifth overtone of a pipe open at both the ends. Then the ratio of length of the pipe closed at one end to the open at both the ends is

The mass of an uniform ladder of length l increases uniformly from one end A to the other end B, find the position of the centre of mass from end A.

The length of a line segment is of 10 units and the coordinates of one end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.

One end of a rope is fixed at a point on the ceiling the other end is held close to the first end so that the rope is folded. The second end is released from this position. Find the speed at which the fold at F is descending at the instant the free end of the rope is going down at speed V.